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Finding the Fourth Proportional to 8,497.29, 12,688.70 and 6,940.38

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Solution

The fourth proportional to 8,497.29, 12,688.70 and 6,940.38 is: 10,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.29 : 12,688.70 = 6,940.38 : x
  2. Step 2: Convert to fraction form
    8,497.29/12,688.70 = 6,940.38/x
  3. Step 3: Cross multiply
    8,497.29x = 12,688.70 × 6,940.38
  4. Step 4: Simplify right side
    8,497.29x = 88,064,451.63
  5. Step 5: Solve for x
    x = 88,064,451.63/8,497.29
  6. Step 6: Final answer
    x = 10,363.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.